Mr. Santos wanted to know the height of the tree. He observed from a point A that the angle of elevation of the top of the tree is 36 degrees. He then moved backwards 50 ft away from the initial point A, the angle of elevation of the top of the tree was 22 degrees. Find the height of the tree.

The height of the tree is approximately 45.51 ft.

Step-by-step explanation:

The given information are;

The angle of elevation of the top of tree is 36 degrees

The distance backwards Mr. Santos moved = 50 ft.

The new angle of elevation of the top of the tree = 22 degrees

Therefore, we have;

The angle opposite to the 50 ft. side = 180 - (180 - 36) - 22° = 14°

Therefore, we have, by sine rule;

50/(sin(14)) = X/(sin(22))

X = (sin(22)) × 50/(sin(14)) ≈ 77.42 ft.

The height of the tree, T =  X × sin(36°)

T = 77.42 ft. × sin(36°)  ≈ 45.51 ft.

The height of the tree is approximately 45.51 ft

Section 1  

00:00:00

TEACHER: No, this is my banana. You already had a banana. You're not getting another one. Just hang out for a second. I got some students to teach. All right, take a look at this monkey here. You know this cute little guy as an animal.  

00:00:12

But how do you really know it's an animal? What characteristics make it an animal but not the tree that it's hanging on? Well, that's what we're going to talk about in this lesson as we work to answer the lesson question which is-- how are animals distinguished from other living things? In a moment, we'll take a look at your lesson goals but I'm going to eat this banana first.  

Section 2  

00:00:00

TEACHER: Before beginning any lesson, it's important to take a look at your lesson goals because it gets your mind thinking about what you're going to be learning. As we explore the animal kingdom, we are going to examine the characteristics that are common to most animals. We'll identify the main functions  

00:00:15

that allow animals to meet their basic needs. And we'll compare and contrast the characteristics of invertebrate and vertebrate animals. Now look at the screen here. There are a lot of words for you to know. We have asymmetry, bilateral symmetry, heterotroph, invertebrate, radial symmetry, vertebrae, and vertebrate. Now again, these are all important science words so now  

00:00:41

would be a great time to hit that pause button on your computer, tablet, phone-- whatever you're using-- and write these words down. Even go ahead and take a look at their definitions in your glossary because I'm about to start the lesson right about now. I would like to begin by talking to you about the classification of living things.  

00:01:01

And you might recall that there are three domains of life. There's bacteria, archaea, and eukarya. The bacteria and archaea domains both contain prokaryotes, which are organisms whose cells lack nuclei. So let me write prokaryotes here. There we go. Also, keep in mind that these two domains,  

00:01:28

they differ in structure and chemical makeup. And then we have the domain eukarya. The domain eukarya contains organisms whose cells contain nuclei. Therefore, these organisms are eukaryotes. And I'm going to write eukaryotes here. Aha.  

00:01:51

Also, this domain is divided into four kingdoms that include protists-- let me put a 1 here-- plants, fungi, and, finally, animals. In this lesson, we're going to talk about the animal kingdom. Well, the name of the kingdom is actually animalia, which is where the word animal comes from.  

Overview of Animals

Step-by-step explanation: